Ответ: ctg(a/2)=3+2√2.
Объяснение:
sina=1/3 a∈[0°;90°] ctga=?
cosa=√(1-sin²a)=√(1-(1/3)²)=√(1-(1*9))=√(8/9)=2√2/3.
ctg(a/2)=(1+cosa)/sina=(1+(2√2/3))/(1/3)=
=(3+2√2)/3):(1/3)=3+2√2.
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Ответ: ctg(a/2)=3+2√2.
Объяснение:
sina=1/3 a∈[0°;90°] ctga=?
cosa=√(1-sin²a)=√(1-(1/3)²)=√(1-(1*9))=√(8/9)=2√2/3.
ctg(a/2)=(1+cosa)/sina=(1+(2√2/3))/(1/3)=
=(3+2√2)/3):(1/3)=3+2√2.